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Finding the Fourth Proportional to 11,869.13, 16,392.86 and 8,085.74

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Solution

The fourth proportional to 11,869.13, 16,392.86 and 8,085.74 is: 11,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.13 : 16,392.86 = 8,085.74 : x
  2. Step 2: Convert to fraction form
    11,869.13/16,392.86 = 8,085.74/x
  3. Step 3: Cross multiply
    11,869.13x = 16,392.86 × 8,085.74
  4. Step 4: Simplify right side
    11,869.13x = 132,548,403.82
  5. Step 5: Solve for x
    x = 132,548,403.82/11,869.13
  6. Step 6: Final answer
    x = 11,167.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.